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We present a statistical study on the [C I]($^{3} \rm P_{1} \rightarrow {\rm^3 P}_{0}$), [C I] ($^{3} \rm P_{2} \rightarrow {\rm ^3 P}_{1}$) lines(hereafter [C I] (1$-$0) and [C I] (2$-$1), respectively) and the CO (1$-$0)line for a sample of (ultra)luminous infrared galaxies [(U)LIRGs]. We explorethe correlations between the luminosities of CO (1$-$0) and [C I] lines, andfind that $L'_\mathrm{CO(1-0)}$ correlates almost linearly with both $L'_\mathrm{[CI](1-0)}$ and $L'_\mathrm{[CI](2-1)}$, suggesting that [C I] linescan trace total molecular gas mass at least for (U)LIRGs. We also investigatethe dependence of $L'_\mathrm{[CI](1-0)}$/$L'_\mathrm{CO(1-0)}$,$L'_\mathrm{[CI](2-1)}$/$L'_\mathrm{CO(1-0)}$ and$L'_\mathrm{[CI](2-1)}$/$L'_\mathrm{[CI](1-0)}$ on the far-infrared color of60-to-100 $\mu$m, and find non-correlation, a weak correlation and a modestcorrelation, respectively. Under the assumption that these two carbontransitions are optically thin, we further calculate the [C I] line excitationtemperatures, atomic carbon masses, and the mean [C I] line flux-to-H$_2$ massconversion factors for our sample. The resulting $\mathrm{H_2}$ masses usingthese [C I]-based conversion factors roughly agree with those derived from$L'_\mathrm{CO(1-0)}$ and CO-to-H$_2$ conversion factor.

Neutral Carbon Emission in luminous infrared galaxies The \CI\ Lines as Total Molecular Gas Tracers